solidot新版网站常见问题,请点击这里查看。

A short note on band projections in partially ordered vector spaces. (arXiv:1807.01003v1 [math.FA])

来源于:arXiv
Consider an Archimedean partially ordered vector space $X$ with generating cone (or, more generally, a pre-Riesz space $X$). Let $P$ be a linear projection on $X$ such that both $P$ and its complementary projection $I - P$ are positive; we prove that the range of $P$ is a band. This shows that the well-known concept of band projections on vector lattices can, to a certain extent, be transferred to the framework of ordered vector spaces. 查看全文>>